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Mean Free Path given Fluid Viscosity and Density Formula

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Mean Free Path is defined as the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties. Check FAQs

l m = \frac{{(π)}^{0.5} \cdot μ}{ρ l \cdot {(β \cdot R \cdot 2)}^{0.5}}

l_m - Mean Free Path?μ - Viscosity of Fluid?ρ_l - Liquid Density?β - Thermodynamic Beta?R - Universal Gas Constant?π - Archimedes' constant?

Mean Free Path given Fluid Viscosity and Density Example

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Here is how the Mean Free Path given Fluid Viscosity and Density equation looks like with Values.

Here is how the Mean Free Path given Fluid Viscosity and Density equation looks like with Units.

Here is how the Mean Free Path given Fluid Viscosity and Density equation looks like.

1.7592 = \frac{{(3.1416)}^{0.5} \cdot 8.23}{4.24 \cdot {(0.23 \cdot 8.314 \cdot 2)}^{0.5}}

1.7592m = \frac{{(3.1416)}^{0.5} \cdot 8.23N*s/m²}{4.24kg/m³ \cdot {(0.23J⁻¹ \cdot 8.314 \cdot 2)}^{0.5}}

1.7592 = \frac{{(3.1416)}^{0.5} \cdot 8.23}{4.24 \cdot {(0.23 \cdot 8.314 \cdot 2)}^{0.5}}

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Mean Free Path given Fluid Viscosity and Density Solution

Follow our step by step solution on how to calculate Mean Free Path given Fluid Viscosity and Density?

FIRST Step Consider the formula

l m = \frac{{(π)}^{0.5} \cdot μ}{ρ l \cdot {(β \cdot R \cdot 2)}^{0.5}}

Next Step Substitute values of Variables

∴

l m = \frac{{(π)}^{0.5} \cdot 8.23N*s/m²}{4.24kg/m³ \cdot {(0.23J⁻¹ \cdot 8.314 \cdot 2)}^{0.5}}

Next Step Substitute values of Constants

∴

l m = \frac{{(3.1416)}^{0.5} \cdot 8.23N*s/m²}{4.24kg/m³ \cdot {(0.23J⁻¹ \cdot 8.314 \cdot 2)}^{0.5}}

Next Step Convert Units

∴

l m = \frac{{(3.1416)}^{0.5} \cdot 8.23Pa*s}{4.24kg/m³ \cdot {(0.23J⁻¹ \cdot 8.314 \cdot 2)}^{0.5}}

Next Step Prepare to Evaluate

∴

l m = \frac{{(3.1416)}^{0.5} \cdot 8.23}{4.24 \cdot {(0.23 \cdot 8.314 \cdot 2)}^{0.5}}

Next Step Evaluate

∴

l m = 1.75923958674783m

LAST Step Rounding Answer

∴

l m = 1.7592m

Mean Free Path given Fluid Viscosity and Density Formula Elements

Variables

Constants

Mean Free Path

Mean Free Path is defined as the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties.

Symbol: l_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Free Path

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Liquid Density

Liquid Density is mass per unit volume of the liquid.

Symbol: ρ_l

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Liquid Density

Thermodynamic Beta

Thermodynamic Beta is a quantity defined in thermodynamics as distinct from kinetic theory or statistical mechanics.

Symbol: β

Measurement: Thermodynamic BetaUnit: J⁻¹

Note: Value should be greater than 0.

Formulas to find Thermodynamic Beta

Universal Gas Constant

Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Universal Gas Constant

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Flow Analysis category

Go Difference of Pressure for Viscous or Laminar Flow

Δp = \frac{32 \cdot μ \cdot v a \cdot L}{{d o}^{2}}

Go Difference of Pressure for Viscous Flow between Two Parallel Plates

Δp = \frac{12 \cdot μ \cdot V \cdot L}{t^{2}}

Go Loss of Pressure Head for Viscous Flow through Circular Pipe

h f = \frac{32 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot {D p}^{2}}

Go Loss of Pressure Head for Viscous Flow between Two Parallel Plates

h f = \frac{12 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot t^{2}}

How to Evaluate Mean Free Path given Fluid Viscosity and Density?

Mean Free Path given Fluid Viscosity and Density evaluator uses Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5)) to evaluate the Mean Free Path, Mean Free Path given Fluid Viscosity and Density is the average distance a particle travels before colliding with another particle. It is inversely related to both the fluid viscosity and density. Mean Free Path is denoted by l_m symbol.

How to evaluate Mean Free Path given Fluid Viscosity and Density using this online evaluator? To use this online evaluator for Mean Free Path given Fluid Viscosity and Density, enter Viscosity of Fluid (μ), Liquid Density (ρ_l), Thermodynamic Beta (β) & Universal Gas Constant (R) and hit the calculate button.

FAQs on Mean Free Path given Fluid Viscosity and Density

What is the formula to find Mean Free Path given Fluid Viscosity and Density?

The formula of Mean Free Path given Fluid Viscosity and Density is expressed as Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5)). Here is an example- 1.75924 = ((pi)^0.5*8.23)/(4.24*(0.23*8.314*2)^(0.5)).

How to calculate Mean Free Path given Fluid Viscosity and Density?

With Viscosity of Fluid (μ), Liquid Density (ρ_l), Thermodynamic Beta (β) & Universal Gas Constant (R) we can find Mean Free Path given Fluid Viscosity and Density using the formula - Mean Free Path = ((pi)^0.5*Viscosity of Fluid)/(Liquid Density*(Thermodynamic Beta*Universal Gas Constant*2)^(0.5)). This formula also uses Archimedes' constant .

Can the Mean Free Path given Fluid Viscosity and Density be negative?

No, the Mean Free Path given Fluid Viscosity and Density, measured in Length cannot be negative.

Which unit is used to measure Mean Free Path given Fluid Viscosity and Density?

Mean Free Path given Fluid Viscosity and Density is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Mean Free Path given Fluid Viscosity and Density can be measured.

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Mean Free Path given Fluid Viscosity and Density Formula

Mean Free Path given Fluid Viscosity and Density Example

Mean Free Path given Fluid Viscosity and Density Solution

Mean Free Path given Fluid Viscosity and Density Formula Elements

Other formulas in Flow Analysis category

How to Evaluate Mean Free Path given Fluid Viscosity and Density?

FAQs on Mean Free Path given Fluid Viscosity and Density

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